Not sure about the rifle I think you can but I didn't look long. Here is the website for Michigan DNR. You probably want to take a hunter safety course. You can find out when on the site. You can see the season dates etc on there two.
http://www.michigan.gov/dnr/0,1607,7-153-10363---,00.html
Do some reading and shot the rifle a good bit before heading out. Take a hunters safety course they are always good. If you hunt with a gun you need hunter orange too. Don't forget that or your asking to get shot.